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Finding the Fourth Proportional to 18,646.41, 25,735.50 and 10,688.70

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Solution

The fourth proportional to 18,646.41, 25,735.50 and 10,688.70 is: 14,752.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.41 : 25,735.50 = 10,688.70 : x
  2. Step 2: Convert to fraction form
    18,646.41/25,735.50 = 10,688.70/x
  3. Step 3: Cross multiply
    18,646.41x = 25,735.50 × 10,688.70
  4. Step 4: Simplify right side
    18,646.41x = 275,079,038.85
  5. Step 5: Solve for x
    x = 275,079,038.85/18,646.41
  6. Step 6: Final answer
    x = 14,752.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.